MathDB

Putnam 2004 B5

Source:

December 11, 2004

Putnamlimitlogarithmscalculusintegrationreal analysiscollege contests

Problem Statement

Evaluate

\lim_{x\to 1^-}\prod_{n=0}^{\infty}\left(\frac{1+x^{n+1}}{1+x^n}\right)^{x^n}